Given the first four terms of an arithmetic sequence find the rule

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the common difference in an arithmetic sequence?
Add all terms together
Convert terms to have a common denominator
Multiply all terms by 2
Divide each term by 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common difference in the given sequence?
3/2
-5/2
7/2
2/2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula represents the nth term of an arithmetic sequence?
a_n = a_1 - n * d
a_n = a_1 * n + d
a_n = a_1 / (n + d)
a_n = a_1 + (n - 1) * d
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the distributive property to the formula for the nth term?
a_n = 4 + 5/2
a_n = 4 - 5/2 * n + 5/2
a_n = 4 * 5/2 * n
a_n = 4 / 5/2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for the nth term after combining terms?
a_n = -5/2 * n + 13/2
a_n = -5/2 + 13/2
a_n = 5/2 * n + 13/2
a_n = 5/2 + 13/2
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